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Question on proof related to inclusion relations of principal ideals generated by elements.

score 70 · Answer 1 · 2026-02-23 02:58:31

70

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Question on proof related to inclusion relations of principal ideals generated by elements.

Published on 23 Feb 2026 - 2:58

score 230 · Answer 2 · 2026-02-23 03:01:41

230

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Expressing Green's relations in regular semigroups

Published on 23 Feb 2026 - 3:01

score 69 · Answer 3 · 2026-02-23 01:06:10

69

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Equal nr of $\mathscr D$-classes, different nr of idempotents

Published on 23 Feb 2026 - 1:06

score 39 · Answer 4 · 2026-02-23 02:56:00

39

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Green relations in semigroups : how to interpret $J(x) \setminus J_x$

Published on 23 Feb 2026 - 2:56

score 133 · Answer 5 · 2026-02-23 02:56:24

133

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What is the definition of generating the same ideals?

Published on 23 Feb 2026 - 2:56

score 75 · Answer 6 · 2026-02-23 02:59:20

75

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Properties of Green's Equivalence $\mathcal L , \mathcal R, \mathcal D$ and $\mathcal H$ on a Semigroup

Published on 23 Feb 2026 - 2:59

score 57 · Answer 7 · 2026-02-23 02:58:30

57

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What can we say about Green's relations on a semilattice?

Published on 23 Feb 2026 - 2:58

score 132 · Answer 8 · 2026-02-23 02:52:26

132

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$\mathcal{J}-$ trivial elements

Published on 23 Feb 2026 - 2:52

score 35 · Answer 9 · 2026-02-23 02:56:23

35

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$\mathcal{D}-$class in a semigroup is a union of $\mathcal{L}$-classes

Published on 23 Feb 2026 - 2:56

score 132 · Answer 10 · 2026-02-23 02:55:28

132

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semigroup in which Green's relations are different

Published on 23 Feb 2026 - 2:55

score 347 · Answer 11 · 2026-02-23 02:56:53

347

Views

Example of an infinite semigroup where $\mathcal{D} \neq \mathcal{J}$

Published on 23 Feb 2026 - 2:56

score 65 · Answer 12 · 2026-02-23 04:47:06

65

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Show that Green's relations coincide on a group, in particular, that $\mathcal{L}=\mathcal{R}$.

Published on 23 Feb 2026 - 4:47

score 77 · Answer 13 · 2026-02-23 04:47:06

77

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How does $(eMe)m_1(eMe) = (eMe)m_2(eMe) \Rightarrow Mm_1M = Mm_2M$?

Published on 23 Feb 2026 - 4:47

score 64 · Answer 14 · 2026-02-23 04:45:58

64

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Doubt in Location Lemma in Greens Relation Abstract Algebra!

Published on 23 Feb 2026 - 4:45

score 100 · Answer 15 · 2026-02-23 04:49:48

100

Views

How to prove that in a semigroup, two $\mathcal{L}$ classes in a $\mathcal{D}$ class are incomparable by $\leq_{\mathcal{L}}$ relation?

Published on 23 Feb 2026 - 4:49

List Question

Question on proof related to inclusion relations of principal ideals generated by elements.

Expressing Green's relations in regular semigroups

Equal nr of $\mathscr D$-classes, different nr of idempotents

Green relations in semigroups : how to interpret $J(x) \setminus J_x$

What is the definition of generating the same ideals?

Properties of Green's Equivalence $\mathcal L , \mathcal R, \mathcal D$ and $\mathcal H$ on a Semigroup

What can we say about Green's relations on a semilattice?

$\mathcal{J}-$ trivial elements

$\mathcal{D}-$class in a semigroup is a union of $\mathcal{L}$-classes

semigroup in which Green's relations are different

Example of an infinite semigroup where $\mathcal{D} \neq \mathcal{J}$

Show that Green's relations coincide on a group, in particular, that $\mathcal{L}=\mathcal{R}$.

How does $(eMe)m_1(eMe) = (eMe)m_2(eMe) \Rightarrow Mm_1M = Mm_2M$?

Doubt in Location Lemma in Greens Relation Abstract Algebra!

How to prove that in a semigroup, two $\mathcal{L}$ classes in a $\mathcal{D}$ class are incomparable by $\leq_{\mathcal{L}}$ relation?

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